Paper Citation Record · LEDGER

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams

As of 18 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2606.30004.

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pith.paper-citation-record.v1
2606.30004 v3

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Outbound references

Observation 0e38f56d-d9e6-44fe-8c08-5f6bdabd2633 · outbound

This paper cites an unresolved cited work.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 1

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Observation 082e2488-72e5-4af3-88e1-39fa9b4da310 · outbound

This paper cites wandering every- where.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams wandering every- where

Reference 2

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Observation 49f4c009-e4a3-4f9e-9383-028a2d79607d · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 3

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Observation 9a1c0e97-0b80-4539-917f-88d5c013b39c · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 4

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Observation d2d38e86-8077-4698-a39a-861058c108ee · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 5

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Observation 649aa4c1-3735-4ac4-b408-76108f891759 · outbound

This paper cites 22: (a) Section of the Fermi surface ǫδ(p) = ˜ǫ0(Q) by the planes Π1,2(B) containing the cylinders C − 1 and C + 1 , C + 2 of zero height.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams 22: (a) Section of the Fermi surface ǫδ(p) = ˜ǫ0(Q) by the planes Π1,2(B) containing the cylinders C − 1 and C + 1 , C + 2 of zero height

Reference 6

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Observation e37d0669-999b-45dc-8531-c2c59092a5a6 · outbound

This paper cites Kittel, Quantum Theory of Solids, Wiley, New York (1963).

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Kittel, Quantum Theory of Solids, Wiley, New York (1963)

Reference 7

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Observation d52286b5-0967-4a2e-85b3-f8fdd5b57be5 · outbound

This paper cites Ziman, Principles of the Theory of Solids, Cam- bridge University Press 1972.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Ziman, Principles of the Theory of Solids, Cam- bridge University Press 1972

Reference 8

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Observation 8539eeb8-8838-4655-b4f6-58c03f026d1f · outbound

This paper cites Ashcroft y N.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Ashcroft y N

Reference 9

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Observation 0c46421a-b574-410a-988c-758e122c6c3a · outbound

This paper cites Abrikosov., Fundamentals of the Theory of Metals., Elsevier Science & Technology, Oxford, United Kingdom, 1988.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Abrikosov., Fundamentals of the Theory of Metals., Elsevier Science & Technology, Oxford, United Kingdom, 1988

Reference 10

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Observation 9a5918be-6a50-49bd-9df1-7fd75c2eef87 · outbound

This paper cites Lifshitz, M.Ya.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Lifshitz, M.Ya

Reference 11

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Observation 0806a00d-1217-459c-8e97-38f6a3ef10e7 · outbound

This paper cites Lifshitz, V.G.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Lifshitz, V.G

Reference 12

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Observation 4b004bee-7857-4ebc-a246-c5542c65edd0 · outbound

This paper cites Lifshitz, V.G.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Lifshitz, V.G

Reference 13

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Observation edd05914-2632-4fb4-9632-7f2b932b86e0 · outbound

This paper cites Lifshitz, M.Ya.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Lifshitz, M.Ya

Reference 14

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Observation 94b44492-f661-4c62-813b-7818865000cb · outbound

This paper cites Novikov., The Hamiltonian formalism and a many- valued analogue of Morse theory., Russian Math.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Novikov., The Hamiltonian formalism and a many- valued analogue of Morse theory., Russian Math

Reference 15

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Observation 7ccaaa08-65a9-4ca5-92d5-d972ccf64e35 · outbound

This paper cites Zorich., A problem of Novikov on the semiclassi- 18 cal motion of an electron in a uniform almost rational magnetic ﬁeld., Russian Math.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Zorich., A problem of Novikov on the semiclassi- 18 cal motion of an electron in a uniform almost rational magnetic ﬁeld., Russian Math

Reference 16

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Observation 3dc1e3e7-04a5-46d2-b23e-6b8904528588 · outbound

This paper cites Dynnikov., Proof of S.P.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov., Proof of S.P

Reference 17

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Observation 2281d56c-dbdf-415f-9793-6b7d8d3653ca · outbound

This paper cites Tsarev, private communication, 1992-1993.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Tsarev, private communication, 1992-1993

Reference 18

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Observation 0f781834-37c1-4359-9f5d-1b7329d1a2dd · outbound

This paper cites Dynnikov., Proof of S.P.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov., Proof of S.P

Reference 19

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Observation 45fc8ee6-a1c8-43c1-a81c-5e78913d7b1a · outbound

This paper cites Geometric Study of Foliations.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Geometric Study of Foliations

Reference 20

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Observation 5f87f270-60c8-4755-8845-66737b0d4b41 · outbound

This paper cites Dynnikov., Surfaces in 3-torus: geometry of plane sections., Proc.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov., Surfaces in 3-torus: geometry of plane sections., Proc

Reference 21

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Observation 95bb64cf-a96a-498b-a119-c6d1a5037a2d · outbound

This paper cites Dynnikov., Semiclassical motion of the electron.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov., Semiclassical motion of the electron

Reference 22

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Observation 94c030cf-059a-4c14-bf78-3abd0ca10dcc · outbound

This paper cites Dynnikov., The geometry of stability zones in Novikov’s problem on the semiclassical motion of an elec- tron., Russian Math.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov., The geometry of stability zones in Novikov’s problem on the semiclassical motion of an elec- tron., Russian Math

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:56.774203Z

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Observation d744bd96-5316-4255-877b-7f5a3fe76d9c · outbound

This paper cites Novikov, A.Y.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Novikov, A.Y

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:56.877154Z

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Observation 8231ed2c-65ec-4786-8088-d57a7bb211c8 · outbound

This paper cites Maltsev, Anomalous behavior of the electrical co n- ductivity tensor in strong magnetic ﬁelds., Journal of Experimental and Theoretical Physics 85 (5), 934-942 (1997).

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Maltsev, Anomalous behavior of the electrical co n- ductivity tensor in strong magnetic ﬁelds., Journal of Experimental and Theoretical Physics 85 (5), 934-942 (1997)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:56.993373Z

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Observation 64e271f1-1851-43b8-b4b9-879ddddf4aee · outbound

This paper cites Novikov, A.Y.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Novikov, A.Y

Reference 26

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Observation 07cf7b5b-9659-43f6-9815-34f8eeb2af9c · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 27

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Observation 32d1a9c6-ca55-4688-bb5c-d11c8a2de204 · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

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Observation d5759bac-2645-4820-a3f3-9f737c6b5f9a · outbound

This paper cites De Leo., Topological eﬀects in the magnetoresistanc e of Au and Ag., Phys.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams De Leo., Topological eﬀects in the magnetoresistanc e of Au and Ag., Phys

Reference 29

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Observation 9abf6b28-ec60-493f-94ff-87fd04a7407c · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 30

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Observation 807fbefc-9fcb-426f-a8f0-1d3209469014 · outbound

This paper cites Maltsev, S.P.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Maltsev, S.P

Reference 31

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Observation 11a54901-baf5-4cd1-a2b6-c4b7bca2c4b8 · outbound

This paper cites A survey on quasiperiodic topology.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams A survey on quasiperiodic topology

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:58.015051Z

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Observation 5c3c46d1-4347-4232-9993-c0f99b86d2c1 · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 33

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Observation 7bffa737-d067-4bcb-92d5-b1ac25413dc3 · outbound

This paper cites Maltsev, The Complexity Classes of Angular Di- agrams of the Metal Conductivity in Strong Magnetic Fields, Journal of Experimental and Theoretical Physics 129(1), 116-138 (2019).

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Maltsev, The Complexity Classes of Angular Di- agrams of the Metal Conductivity in Strong Magnetic Fields, Journal of Experimental and Theoretical Physics 129(1), 116-138 (2019)

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:58.273404Z

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Observation 9176ff11-987c-473e-9351-f55ef9b0f82d · outbound

This paper cites Geometry of quasiperiodic functions on the plane.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Geometry of quasiperiodic functions on the plane

Reference 35

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Observation 0b005a75-775d-4e93-889e-6ab126833aef · outbound

This paper cites Pseudoperiodic Topology.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Pseudoperiodic Topology

Reference 36

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Observation f2fdd894-84d6-488f-9484-520ae29fe07b · outbound

This paper cites De Leo., Existence and measure of ergodic leaves in Novikov’s problem on the semiclassical motion of an elec- tron., Russian Math.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams De Leo., Existence and measure of ergodic leaves in Novikov’s problem on the semiclassical motion of an elec- tron., Russian Math

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:58.536001Z

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Observation 2c0910b5-6578-4f1a-bb7c-157994e29e1e · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams ergodic di- rections

Reference 38

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Observation 1d335506-cdea-4e42-88d3-bcad36d1b3b6 · outbound

This paper cites De Leo., Topology of plane sections of periodic poly- hedra with an application to the Truncated Octahedron., Experimental Mathematics 15:1 (2006), 109-124.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams De Leo., Topology of plane sections of periodic poly- hedra with an application to the Truncated Octahedron., Experimental Mathematics 15:1 (2006), 109-124

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T09:36:58.675674Z

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Observation 3b470432-2888-4f4c-9fb6-4dfc8259b06c · outbound

This paper cites De Leo, I.A.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams De Leo, I.A

Reference 40

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Observation 0bed7c5d-0a03-4344-87df-bd2b0fdd75e6 · outbound

This paper cites Dynnikov, Interval identiﬁcation systems and pla ne sections of 3-periodic surfaces, Proceedings of the Steklov Institute of Mathematics 263, 65-77 (2008).

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov, Interval identiﬁcation systems and pla ne sections of 3-periodic surfaces, Proceedings of the Steklov Institute of Mathematics 263, 65-77 (2008)

Reference 41

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Observation 8cd80b1a-28b6-4623-afe2-f2bd1ee25537 · outbound

This paper cites De Leo, I.A.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams De Leo, I.A

Reference 42

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Observation 03b8be5a-66a9-4670-85a5-139b5cb0acc8 · outbound

This paper cites Skripchenko., Symmetric interval identiﬁcation sy s- tems of order three., Discrete Contin.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Skripchenko., Symmetric interval identiﬁcation sy s- tems of order three., Discrete Contin

Reference 43

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Observation ac861d8f-14a5-4cf0-98a3-e2e0f1096e5f · outbound

This paper cites Skripchenko., On connectedness of chaotic sections of some 3-periodic surfaces., Ann.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Skripchenko., On connectedness of chaotic sections of some 3-periodic surfaces., Ann

Reference 44

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Observation 3a89228c-9be5-4c1a-a720-c96d43283066 · outbound

This paper cites On typical leaves of a measured foliated 2-complex of thin type.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams On typical leaves of a measured foliated 2-complex of thin type

Reference 45

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Observation f7f77a9f-3fcc-4f4a-8802-62abd4acd891 · outbound

This paper cites Dynnikov, A.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Dynnikov, A

Reference 46

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Observation 83c028f4-5f62-4109-849c-bc5a1b59947c · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams A vila, P

Reference 47

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Observation 6dfbe566-cfbe-4c3a-aeb0-4a76c1c1ebe7 · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams A vila, P

Reference 48

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Observation 445f3d27-0324-4df9-922b-760d5cfe1d5e · outbound

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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Unresolved cited work

Reference 49

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Observation 21c430c7-0306-49b6-8ace-de39781badcf · outbound

This paper cites Maltsev, On chaotic regimes of conductiv- ity behavior in the tight-binding approximation, arXiv:2510.17589.

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams Maltsev, On chaotic regimes of conductiv- ity behavior in the tight-binding approximation, arXiv:2510.17589

Reference 50

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